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Finding the Fourth Proportional to 842.91, 1,264.37 and 458.43

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Solution

The fourth proportional to 842.91, 1,264.37 and 458.43 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 1,264.37 = 458.43 : x
  2. Step 2: Convert to fraction form
    842.91/1,264.37 = 458.43/x
  3. Step 3: Cross multiply
    842.91x = 1,264.37 × 458.43
  4. Step 4: Simplify right side
    842.91x = 579,622.85
  5. Step 5: Solve for x
    x = 579,622.85/842.91
  6. Step 6: Final answer
    x = 687.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.